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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 35490.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35490.t1 | 35490t1 | \([1, 1, 0, -15122, -1648044]\) | \(-2263130418396289/5580130500000\) | \(-943042054500000\) | \([]\) | \(224640\) | \(1.5613\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35490.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35490.t do not have complex multiplication.Modular form 35490.2.a.t
sage: E.q_eigenform(10)